The generator matrix

 1  0  1  1  1  0  2  2  2  1
 0  1 11  6  5  1  0  0  0  0
 0  0 12  0  4  0  4 12  0  0
 0  0  0 12  4 12  4  0  0  0
 0  0  0  0  8  0  0  0  8  0
 0  0  0  0  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  0  8  8  0

generates a code of length 10 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+84x^4+216x^5+552x^6+1656x^7+4174x^8+12464x^9+27256x^10+12464x^11+4132x^12+1656x^13+600x^14+216x^15+57x^16+8x^18

The gray image is a code over GF(2) with n=80, k=16 and d=16.
This code was found by Heurico 1.16 in 0.589 seconds.